Using (REF ) one could actually define skew Schur functions as follows: for a partition \(\mu \subseteq \lambda \) , \(s_{\lambda / \mu }(Y) = \det [h_{\lambda _i-i-(\mu _j-j)}(Y)]_{1 \le i, j \le \ell (\lambda )}\) . When \(\mu = 0\)  is the empty partition, \(s_{\lambda /0} = s_{\lambda }\) . For more on symmetric functions, the reader should consult Chapter I of the scriptures [1]}.
